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Finding the Third Proportional to 84,395 and 123,342

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Solution

The third proportional to 84,395 and 123,342 is: 180,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,395 : 123,342 = 123,342 : x
  2. Step 2: Convert to fraction form
    84,395/123,342 = 123,342/x
  3. Step 3: Cross multiply
    84,395x = 123,342 × 123,342
  4. Step 4: Simplify right side
    84,395x = 15,213,248,964
  5. Step 5: Solve for x
    x = 15,213,248,964/84,395
  6. Step 6: Final answer
    x = 180,262.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.